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Finding the Third Proportional to 199,070,520 and 284,671,188

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Solution

The third proportional to 199,070,520 and 284,671,188 is: 407,080,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,070,520 : 284,671,188 = 284,671,188 : x
  2. Step 2: Convert to fraction form
    199,070,520/284,671,188 = 284,671,188/x
  3. Step 3: Cross multiply
    199,070,520x = 284,671,188 × 284,671,188
  4. Step 4: Simplify right side
    199,070,520x = 81,037,685,277,331,344
  5. Step 5: Solve for x
    x = 81,037,685,277,331,344/199,070,520
  6. Step 6: Final answer
    x = 407,080,291.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.